LINEAR AND NONLINEAR AERODYNAMIC THEORY OF INTERACTION BETWEEN FLEXIBLE LONG STRUCTURE AND WIND

Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (12): 1446-1457.

LINEAR AND NONLINEAR AERODYNAMIC THEORY OF INTERACTION BETWEEN FLEXIBLE LONG STRUCTURE AND WIND

徐旭^1,2, 曹志远²

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;
2. Department of Engineering Mechanics and Technology, Tongji University, Shanghai 200092, P. R. China

收稿日期:2000-09-06 修回日期:2001-07-06 出版日期:2001-12-18 发布日期:2001-12-18

LINEAR AND NONLINEAR AERODYNAMIC THEORY OF INTERACTION BETWEEN FLEXIBLE LONG STRUCTURE AND WIND

XU Xu^1,2, CAO Zhi-yuan ²

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;
2. Department of Engineering Mechanics and Technology, Tongji University, Shanghai 200092, P. R. China

Received:2000-09-06 Revised:2001-07-06 Online:2001-12-18 Published:2001-12-18

摘要/Abstract

摘要： In light of the characteristics of the interactions between flexible structure and wind in three directions, and based on the rational mechanical section-model of structure, a new aerodynamic force model is accepted, i.e.the coefficients of three component forces are the functions of the instantaneous attack angle and rotational speed C_i=C_i(β(t),θ), (i=D,L,M). So, a new method to formulate the linear and nonlinear aerodynamic items of wind and structure interacting has been put forward in accordance with "strip theory" and modified "quasi-static theory", and then the linear and nonlinear coupled theory of super-slender structure for civil engineering analyzing are converged in one model. For the linear aerodynamic-force parts, the semi-analytical expressions of the items so-called "flutter derivatives" corresponding to the one in the classic equations have been given here, and so have the nonlinear parts. The study of the stability of nonlinear aerodynamic-coupled torsional vibration of the old Tacoma bridge shows that the form and results of the nonlinear control equation in rotational direction are in agreement with that of V.F.Bhm’s.

Abstract: In light of the characteristics of the interactions between flexible structure and wind in three directions, and based on the rational mechanical section-model of structure, a new aerodynamic force model is accepted, i.e.the coefficients of three component forces are the functions of the instantaneous attack angle and rotational speed C_i=C_i(β(t),θ), (i=D,L,M). So, a new method to formulate the linear and nonlinear aerodynamic items of wind and structure interacting has been put forward in accordance with "strip theory" and modified "quasi-static theory", and then the linear and nonlinear coupled theory of super-slender structure for civil engineering analyzing are converged in one model. For the linear aerodynamic-force parts, the semi-analytical expressions of the items so-called "flutter derivatives" corresponding to the one in the classic equations have been given here, and so have the nonlinear parts. The study of the stability of nonlinear aerodynamic-coupled torsional vibration of the old Tacoma bridge shows that the form and results of the nonlinear control equation in rotational direction are in agreement with that of V.F.Bhm’s.

中图分类号:

TU311.3
O321

徐旭;曹志远. LINEAR AND NONLINEAR AERODYNAMIC THEORY OF INTERACTION BETWEEN FLEXIBLE LONG STRUCTURE AND WIND[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(12): 1446-1457.

XU Xu;CAO Zhi-yuan . LINEAR AND NONLINEAR AERODYNAMIC THEORY OF INTERACTION BETWEEN FLEXIBLE LONG STRUCTURE AND WIND[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(12): 1446-1457.

参考文献

[1] Scanlan R H,Tomko J J.Airfoil and bridge deck f lutter derivatives[J].J En g Mech,ASCE,1971,97(EM6):1717-1737.
[2] Scanlan R H.The action of flexible bridges under wind(Ⅰ)flutter theory[J].J Sound Vibration,1978,60(2):187-199.
[3] Lin Y K.Motion of suspension bridges in turbulent winds[J].J Eng Mech,ASCE,1979,105(EM 6):921-923.
[4] Lin Y K,Ariaratnam S T.Stability of bridge motion in turbulent winds[J].J Struct Mech,1980,8(1):1-15.
[5] Scanlan R H.The action of flexible bridge under wind(Ⅱ)buffeting theory[J].J Sound Vibration,1978,60(2):201-211.
[6] Davenport A G.The response of slender,line-like structures to a gusty wind[J].Proceedings ICE,1962,23:389-407.
[7] Scanlan R H.Interpreting aeroelastic models of cable-stayed bridges[J].J En g Mech,ASCE,1987,113(4):555-575.
[8] Sarkar P P,et al.Identification of aeroelastic parameters of flexible bridges[J].J En g Mech,ASCE,1994,120(8):1718-1742.
[9] Piccardo G.A methodology for the study of coupled aeroelastic phenomena[J].J Wind Eng Indus Aerodynamic,1993,48:241-252.
[10] Solari G.Gust-Excited Vibrations[M].New York:Springer-Verlag,1994.
[11] Str mmen E,Hiorth-Hansen E.The buffeting wind loading of structural members at an arbitrary attitude in the f low[J].J Wind Eng Indus Aerodynamic,1995,56:267-290.
[12] Brito J L V,Riera J D.Aerodynamic instability of cylindrical bluff bodies in non-homogeneous flow[J].J Wind Eng Indus Aerodynamic,1995,57,81-96.
[13] Parkinson G V,Brooks N P H.On the aeroelastic instability of bluff cylinders[J].J Appl Mech,1961,83:250-258.
[14] Novak M.Aeroelastic galloping of rigid and elastic bodies[R].Univ Western Ontorio,London/Canada,Res Rep BLWT-3-68,1968.
[15] B hm V F.Berechnugn nichtlinearer aerodynamisch erregter schwingungen von Hangebrucken[J].Der Stahlbau,1967,7:207-215.
[16] Falco M,Curami A,Zasso A.Nonlinear eff ects in sectional model aeroelastic parameters[J].J Wind En g Indus Aerodynamic,1992,41-44:1321-1332.
[17] Diana G,Cheli F,Resta F.Time domain aeroelastic force identification on bridge decks[A].In:9 th International Conf erence of Wind Engineering[C].New Delhi,India,1995,938-949.
[18] Borri C,H ffer R,Zahlten W.A nonlinear approach for evaluating simultaneous buffeting and aeroelastic eff ects on bridge decks[A].In:9th International Conference of Wind Engin eering[C].New Delhi,India,1995,839-850.
[19] Steinmann D G,Hangebr cken-Das aerodynamische problem und seine l sung[J].Acier-Steel-Stahl,1954,19(10-11):495,542.
[20] Scanlan R H,Jones N P,Singh L.Inter-relation among flutter derivatives[J].J Wind Eng Indus Aerodynamic,1997,69-71:829-837.
[21] XU Xu,CAO Zhi-yuan.New expressions of nonlinear aerodynamic forces in civil engineering[A].In:Proceedings of the 3rd Int Conf on Nonlinear Mech(ICNM-.)[C].Shanghai:Shanghai University Press,Aug,1998,396-401.
[22] XU Xu,CAO Zhi-yuan.Stability analysis of nonlinear aerodynamic-coupled torsional vibration[J].Journal of Nonlinear Dynamics in Science and Technology,1999,6(3):228-234.(in Chinese)

LINEAR AND NONLINEAR AERODYNAMIC THEORY OF INTERACTION BETWEEN FLEXIBLE LONG STRUCTURE AND WIND

LINEAR AND NONLINEAR AERODYNAMIC THEORY OF INTERACTION BETWEEN FLEXIBLE LONG STRUCTURE AND WIND

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